Elastic Constants of Beta-Brass Single Crystals

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Abstract
Measurements of Young's modulus and the rigidity modulus for a set of beta‐brass single crystals of 55 atomic percent copper and for single crystals of beta‐brass near the zinc‐rich phase boundary reveal a dependence of the elastic constants upon composition. Comparison is made with previous results, whereby it is found that the moduli of beta‐brass for different compositions may be obtained by the use of a linear interpolation in terms of the atomic ratio of copper to zinc. Derived quantities are generally related in this manner also. The value of Σ111(Poisson's ratio) is shown to be a positive quantity, in contrast to that derivable from previous results. Results of bending‐torsion measurements are presented. The agreement between measured values and those calculated from the principal elastic constants provides assurance for the consistency of the measurements.